30 POINTS

Write and solve an absolute value equation for the minimum and maximum times for an object moving at the given speed to travel the given distance. Absolute value 3 ft. 10 ft/s for 30 ft​

Answer: each belt is $15

Step-by-step explanation:

according to the question

given data in the question,

the type of sample-

random stratified sampling

The usage of satisfied sampling may be required for a variety of distinct features.

The population is first split into two or more strata or subgroups in this kind of random sampling. Beginning with the sampling procedure, each unit is assigned to one stratum based on the unit's historical performance. Following that, separate random samples are chosen using a basic random sampling technique from each stratum, which contains a percentage of the population. that is, they are both mutually and jointly exhaustive.

The traits that we are evaluating are distinct from those of members of another stratum and similar to those of the sample unit stratum.

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the type of sample that proportionately reflects the relevant diversity of opinions in the population from which it is drawn is random stratified sampling

A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

The sample size in statistics is a measurement of the total number of samples utilized in an experiment. The sample size is 50, for instance, if we are evaluating 50 samples of city dwellers who watch TV. It's also known as sample statistics.

Considering the query

the information in the query

a sample's type-

stratified sampling at random

For a number of unique traits, satisfied sampling may be necessary.

In this type of random sampling, the population is initially divided into two or more strata or subgroups. Each unit is categorized into a stratum at the start of the sampling process depending on its prior performance. A basic random sampling approach is then used to select distinct random samples from each stratum, which represents a portion of the population. they are mutually and jointly exhaustive, in other words.

The characteristics that we are examining are different from those of members of one stratum and comparable to those of the stratum that contains the sample unit.

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Answer:

x = 5.8   Option 2

Step-by-step explanation:

AC of length x is the hypotenuse of the right triangle ABC whos other two sides are AB and BC

By the Pythagorean theorem,

AC² = AB² + BC²

Given AB=5, BC = 3 and AC = x

x² = 5² + 3²

x² = 25 + 9 = 34

x = √34 = 5.83 and rounded to the nearest tenth it would be 5.8

Answer:
x = 5.8   Option 2

As per the given three coordinate of the triangle, the area of the triangle is 9.5 square units.

Area of triangle:

In the triangle ABC as with vertices or coordinates are A(x1, y1), B(x2, y2), and C(x3, y3), has the area,

Area(ΔABC) = (1/2){x1(y2 − y3) + x2(y3 − y1) + x3(y1 − y2)}

As the area is always positive.

Given,

Here we have the triangle VWX,

And their coordinates are V (-9,-7), W(-4,-5), and X(-6,-2).

Now we have to find the area of the triangle.

To find the area of the triangle, let us consider the coordinates (x1,y1) as v(-9,-7), (x2,y2) as W(-4,-5) and (x3,y3) as X(-6,-2).

Now, we have to apply the values on the formula, in order to get the area of the triangle,

=> A = 1/2 |(-9 [-5-(-2)] + (-4)[-2 - (-7)] + (-6)[-7 - (-5)]|

When we expand the terms, then we get,

=> A = 1/2 |(-9)[-3] + (-4)[5] + (-6)[-2]|

Further simplify the expression will gives you the following,

=> A = 1/2 |27 - 20 + 12|

=> A = 1/2 |19|

Therefore, the area of the triangle is 9.5 square units.

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The 12 major intervals in a clock form 360°/12 = 30° between each two consecutive numbers.

Therefore, if the hands are moved to 4 and 6, the angle formed must be (6 - 4)*30° = 60°

Answer:

Down

Step-by-step explanation:

Given

\(g(x) = f(x) - 1\)

Required

The translation of f(x) that gives g(x)

Given that the relationship between 2 functions be:

\(g(x) = f(x) - b\)

This means that f(x) is translated b units downward to give g(x). So, the word that completes the blank is down

The polygon method of vector addition can be used to add any number of vectors. Other methods of vector addition, however, may be limited to the number of vectors that can be added.

The vector addition method known as the polygon method can be used to add any number of vectors. To use the polygon method, you simply place the vectors head to tail, as if constructing the sides of a polygon. The sum of the vectors is then the vector from the tail of the first vector to the head of the final vector. Polygon method of vector additionIn addition, other methods of vector addition, such as the component method, may have limits on the number of vectors that can be added. When using the component method, for example, vectors are broken down into their x- and y-components.

These components are then added to determine the total x- and y-components of the sum vector. The sum vector is then found by combining the x- and y-components. Because of this, the number of vectors that can be added using the component method may be limited by the ability to calculate the individual x- and y-components.

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The total time required to process all six jobs is 42 days.

The start time for Job 4 is 18 and the end time is 28.

Body of the Solution: Based on the provided processing times for each job, here's the Gantt chart showing the sequence of jobs 1, 2, 3, 4, 5, 6 and the corresponding time required to process each job:

Job: 1 |----|

Job: 2       |---------|

Job: 3                  |-----|

Job: 4                         |----------|

Job: 5                                       |-----|

Job: 6                                               |----|

Time 0 4    13     18      28     34      42

In the Gantt chart, each job is represented as a horizontal bar, and the length of the bar corresponds to the processing time for that job. The chart starts at time 0 and ends at the total processing time required for all the jobs.

To determine the total time required to process all six jobs, we can look at the end time of the last job, which is 42. Therefore, the total time required to process all six jobs is 42 days.

Thus, the total time required to process all six jobs is 42 days.

develop a gantt chart to determine the total time required to process all six jobs. use the following sequence of jobs: 1, 2, 3, 4, 5, 6;Where the processing times (days)are 4,9,5,10,6,8 respectively.

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Option A

Hope it helps.

Do comment if you have any query.

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Total length  = Amount cut off +  amount remaining.

Total length = 12 + 18 = 30 inches

X=8  Hope this helps and have a wonderful day! :)

Answer:

x=8

Step-by-step explanation:

Add one to both sides and subtract 3/4x from both sides to get 1 1/4 x or 1.25x=10, then divide 10 by 1.25 which is 8.

Answer:

Step-by-step explanation:

By using the Formula:

Areatriangle=10*5/2=25

Areasquare=5*5=25

Total Area is: 25+25=50

It will be nice if you give me brainliest.Good luck!

Answer:

50cm²

Step-by-step explanation:

Square- length x breadth

           =5cmx 5cm

           =25cm²

Triangle- ¹/₂ x base x perpendicular height

            = ¹/₂x 5cm x 10cm

            =25cm²

Square-   25cm²

Triangle-+25cm²

total area- 50 cm²

I hope it helps

Thank U

The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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The distance from the ground to the ladybug is 9 inches.

We can use trigonometry to solve this problem.

Let's assume that the distance between the second hand and the center of the clock is negligible compared to the length of the minute hand.

At 3:15, the minute hand is pointing directly at the 3 and the second hand is pointing directly at the 12. The angle between the minute hand and the second hand is 90 degrees.

We can draw a right triangle with the minute hand as the hypotenuse and the distance from the center of the clock to the ladybug as one of the legs. Let's call this distance "x". The length of the minute hand is 9 inches, so we have:

sin(90) = x/9

Simplifying this equation, we get:

x = 9sin(90)

x = 9

Therefore, the distance from the ground to the ladybug is 9 inches.

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A horizontal asymptote is a straight line that a function approaches as x approaches infinity or negative infinity.

For the function f(x) = (x-2)/(x^2 + 1):

Horizontal asymptotes:

As x approaches infinity or negative infinity, the highest degree term in the numerator and denominator are the same, which is x^2. Therefore, we can use the ratio of the coefficients of the highest degree terms to determine the horizontal asymptote. In this case, the coefficient of x^2 in both the numerator and denominator is 1. So the horizontal asymptote is y = 0.

Vertical asymptotes:

Vertical asymptotes occur when the denominator of a rational function equals zero and the numerator does not. So, to find the vertical asymptotes of f(x), we need to solve the equation x^2 + 1 = 0. However, this equation has no real solutions, which means that there are no vertical asymptotes for f(x).

For the function f(x) = (x-2)/(x^2 - 11):

Vertical asymptotes:

To find the vertical asymptotes, we need to solve the equation x^2 - 11 = 0. This equation has two real solutions, which are x = sqrt(11) and x = -sqrt(11). These are the vertical asymptotes of f(x).

Horizontal asymptotes:

As x approaches infinity or negative infinity, the highest degree term in the numerator and denominator are x and x^2 respectively. Therefore, the horizontal asymptote is y = 0. However, we also need to check if there are any oblique asymptotes. To do this, we can use long division or synthetic division to divide the numerator by the denominator. After doing this, we get:

    x - 2

--------------

x^2 - 11 | x - 2

          x - sqrt(11)

        ------------

              sqrt(11) + 11

           sqrt(11) + 2

         --------------

               -9

Since the remainder is a non-zero constant (-9), there are no oblique asymptotes. So the only asymptotes for f(x) are the vertical asymptotes x = sqrt(11) and x = -sqrt(11).

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The function f(t) is defined as a 2-periodic signal given by f(t) = e^(-|t|) for -1 < t < 1.

This means that for values of t within the interval (-1, 1), the function takes the exponential of the negative absolute value of t. Outside this interval, the function is not explicitly defined.

The exponential function e^(-|t|) ensures that the signal decays exponentially as |t| increases. As a 2-periodic signal, f(t) repeats its pattern every 2 units of t. It's worth noting that the question mentioned "E=1+1," but it is unclear how it relates to the function definition. Therefore, I have provided an explanation based solely on the given expression.

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Answer:

Hope the graph below helps.

Step-by-step explanation:

Answer:

h=10

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Step-by-step explanation:

130=1/2×h×23

130=13h

h=10

Answer:

h = 10 m

Step-by-step explanation:

Given A = 130 and b = 26 then

\(\frac{1}{2}\) × 26h = 130 , that is

13h = 130 ( divide both sides by 13 )

h = 10 m

Answer:

The slope of a line is a measure of its steepness. It is calculated as the ratio of the vertical change to the horizontal change between two points on the line. The following options correctly describe the slope:

1. Rise/Run

2. Vertical Change/Horizontal Change

3. y2-y1/x2-x1

Name : Trinomial.

Degree : 4

EXPLANATION

Monomial : A polynomial with just one term.

Binomial : A polynomial with two terms.

Trinomial : A polynomial with three terms.

From the question given;

(12x⁴ + 3x - 1) comprises of 3 terms, hence it is a trinomial.

The degree of a polynomial is the highest exponent in a term of a polynomial.

Hence, the highest exponent in the given expression is 4, this implies that the polynomial is of degree 4.

After calculating the future value of the current balance, You will still owe $72.97 after one year.

Calculate the future value of the current balance: FV = PV x (1 + r)
Where, FV = Future Value, PV = Present Value (the current balance of $1,000), and r = interest rate of 2% per month.
Thus, FV = 1,000 x (1 + 0.02) = 1,020

Calculate the future value of the annuity payments of $100 per month:
FV = c x ı((1 + y)+ - 1)
Where, c = $100, y = interest rate of 2% per month.
Thus, FV = 100 x ı((1 + 0.02)12 - 1) = 1,246.24

Calculate the future value of the account balance: FV = 1,020 + 1,246.24 = 2,266.24
Finally, calculate the balance at the end of one year:
Balance at the end of one year = Future Value - Annuity Payments

Thus, Balance at the end of one year = 2,266.24 - (12 x 100) = 72.97.

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Answer:

1/169

Step-by-step explanation:

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

Replace the card

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169

The number of pictures that Todd ordered can be obtained as follows:

- Subtract the one-time shipping fee from the total cost of Todd's order to obtain the total amount that the pictures cost, as below:

- Now, divide the result above (which is the total amount that the pictures cost ) by the individual cost of the pictures, as follows:

Therefore, Todd ordered a total of 11 pictures

Answer:

1. y=-4/3x+9

2. y=-4x+6

Step-by-step explanation:

1.y=-4/3x+b

put in 3,5 into equation

5=-4/3(3)+b

5=-4+b

9=b

so y=-4/3x+9

2. y=4x+b

2=4(-1) +b

2=-4+b

6=b

y=-4x+6

The difference in solving equations with cubes and squares is of one additional step of reducing the cubic equation to a quadratic equation. In this way, a quadratic equation (variable raised to power 2) is separated from the given cubic equation.

For example, x3+3x2+x1+3=0 can be reduced to (x+3) and (x2+1), where the later one is a quadratic equation. This step is never part of a squared equation’s solution.

The similarity is from here onwards. Quadratic equations are solved similarly in both cases. Although there are multiple possibilities for roots differing from each other in nature. But once a quadratic equation is developed, the solution from there onwards is mostly generic.

You can refer to the following formula for solving quadratic equations efficiently:

x= -bb2-4ac2a

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Answer:

\( \rm t = \dfrac{5 - b}{2} \)

Step-by-step explanation:

Solve for t:

\( \longrightarrow \) 5 - b = 2t

5 - b = 2t is equivalent to 2t = 5 - b:

\( \longrightarrow \) 2t = 5 - b

Divide both sides by 2:

\( \longrightarrow \) \( \sf \dfrac{2t}{2} = \dfrac{5 - b}{2} \)

\( \sf \dfrac{2}{2} \) = 1:

\( \longrightarrow \) \( \sf t = \dfrac{5 - b}{2} \)

The derivative of the function \(y = \int\limits {cosx sinx}  \,  (\frac{3}{5} )^{7}  dv\) with respect to x is ( 3 / 5 )^7 sin x.\\(\frac{3}{5}) ^{7} sinx.

To use part 1 of the fundamental theorem of calculus to find the derivative of the function y = ∫ cos x sin x ( 3 / 5 )^7 dv, we first need to rewrite the integral in terms of x rather than v. To do this, we use the chain rule of integration:
\(\int\limits {cosx sinx} \, (\frac{3}{5} )^{7}  dv = (\frac{3}{5}) ^{7} cosxsinx dv = (\frac{3}{5} )^{7} [sinx v] + C\)
where C is the constant of integration.

Now, we can use part 1 of the fundamental theorem of calculus, which states that if F(x) = ∫ f(t) dt from a to x, then F'(x)=f(x). In other words, the derivative of the integral with respect to the upper limit of integration is the integrand evaluated at that upper limit. Applying this to our function, we have:
\(y' = \frac{d}{dx} [ (\frac{3}{5}) ^{7}  sinx v+ C] = (\frac{3}{5} )^{7} sinx (\frac{d}{dx} [v] )+0\)

Since v is a constant with respect to x, its derivative is 0. Therefore, we can simplify the expression to:\(y' =  (\frac{3}{5}) ^{7} sin x\\\)

So the derivative of the function \(y = \int\limits {cosx sinx}  \,  (\frac{3}{5} )^{7}  dv\) with respect to x is \(( 3 / 5 )^7 sin x.\\(\frac{3}{5}) ^{7} sinx\).

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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The quotient ring  \(Q[x]/(x^2 - 4x + 3)\)  is not a field because the polynomial x²- 4x + 3 can be factored into linear factors in Q[x], indicating the presence of zero divisors in the quotient ring.

To determine if the quotient ring \(Q[x]/(x^2 - 4x + 3)\) is a field, we need to check if the polynomial x² - 4x + 3 is irreducible in Q[x], which means it cannot be factored into non-constant polynomials of lower degree in Q[x].

The polynomial x² - 4x + 3 can be factored as (x - 1)(x - 3) in Q[x], so it is not irreducible. This means that Q[x]/(x² - 4x + 3) is not a field.

In fact, Q[x]/(x² - 4x + 3) is an example of a quotient ring that is not a field. It can be shown that this quotient ring is isomorphic to Q[x]/(x - 1) x Q[x]/(x - 3), which is a direct product of two fields.

Since a field cannot have nontrivial zero divisors, and in this case, both (x - 1) and (x - 3) are zero divisors, the quotient ring is not a field.

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